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Finding the Fourth Proportional to 199,383.84, 299,126.16 and 66,301.20

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Solution

The fourth proportional to 199,383.84, 299,126.16 and 66,301.20 is: 99,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,383.84 : 299,126.16 = 66,301.20 : x
  2. Step 2: Convert to fraction form
    199,383.84/299,126.16 = 66,301.20/x
  3. Step 3: Cross multiply
    199,383.84x = 299,126.16 × 66,301.20
  4. Step 4: Simplify right side
    199,383.84x = 19,832,423,359.39
  5. Step 5: Solve for x
    x = 19,832,423,359.39/199,383.84
  6. Step 6: Final answer
    x = 99,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.